Teacher: Cheyanne J. Ouellette Office: TBA Office Phone: TBA Office Hours: TBA, or by appointment E-mail:cheyanne.ouellette@maine.edu
Summary of Unit
Throughout this unit students will work to gain a better understanding of polynomials and the concepts involved in solving polynomial expressions. In order to complete this unit students will need to know the definitions of polynomials, leading and constant terms, FOIL method, leading coefficient, polynomial and linear function, and the horizontal and vertical methods. Students will need to know the exponential applications and how their properties alter with addition, subtraction and multiplication. By the end of this unit, the students will understand there are multiple ways to solve a polynomial expression. They will also understand that visual representations can be used to derive polynomial expressions. Furthermore the students will understand that polynomial expressions can be used in real world applications. They will be able to demonstrate a strong understanding of how visual representations are used to solve and express polynomials and their applications. They will be able to illustrate how polynomial expressions can be multiplied by using the horizontal, vertical and FOIL methods. They will also be able to solve addition, subtraction, and multiplication problems that involve polynomials. They will furthermore also be able to compare and choose which of the different methods of solving polynomial expressions best suits them. Then will then be able to relate the visual representations of polynomials to the mathematical solutions. They will finally be able to recognize some practical uses of polynomial functions in the real world.
Establish Goals:(G)
Maine Learning Results: Mathematics - D. Algebra
Symbols and Expressions
Grade 9 - Diploma 1. Students understand and use polynomials and expressions with rational exponents.
b. Add, subtract, and multiply polynomials.
Students will understand that:(U)
• There are multiple ways to solve a polynomial expression.
• Visual representations can be used to derive polynomial expressions. .
• Polynomial expressions can be used in real world applications.
Essential Questions:(Q)
• Why are there multiple ways to solve a polynomial expression and what are they?
• How can you use visual representations to derive polynomial expressions?
• How can polynomial expressions be used in the real world?
Students will know:(K)
• Vocabulary: polynomial, leading term, constant term, FOIL method, leading coefficient, polynomial function, linear function, horizontal method, vertical method
• Critical details: exponential applications, "like" terms
• Definition: polynomial
Students will be able to do:(S)
• Justify how visual representations are used to solve and express polynomial expressions.
• Illustrate how polynomial expressions can be multiplied by using the horizontal, vertical or FOIL methods.
• b. Solve addition, subtraction, and multiplication problems that involve polynomials.
• Compare and choose which of the different methods of solving polynomial expressions best suits them.
• Relate the visual representations of polynomials to the mathematical solutions.
• Recognize some practical uses of polynomial functions in the real world. || || ||
PerformanceTask: =====Congratulations! You have the chance to be the next Rachel Ray! You and your cooking partner have just been asked to compete as chefs on Food Network’s newest competitive cooking show, Vegetarian Gardener. But first you have to show your math and gardening skills by growing your own ingredients in a limited space.=====
The first stage of the competition is to find a winning vegetarian recipe, and to use vegetables grown in your own garden, using only the space that the network has provided for you. You and your partner will present a diagram of your garden to the panel of judges which includes a local farmer, a mathematician, and a world-renowned vegetarian chef. You must convince each of them that you have the best recipe and garden design.
Expectations
Assignments are expected to be turned in on time. You may have a chance to revise some assignments if they are turned in on time. Quizzes can be redone as a take-home assignment for up to 4 points (of 20) added to the score.
Any type-written assignments must be done using Times New Roman, 12 point font with one-inch margins and no grammatical or typographical errors.
Attendance is crucial to success. It's important that if you miss a class, you come see me the following day to catch up. I expect you to come talk to me if you have extenuating circumstances that do not allow you to complete your work on time.
Benchmarks
The following is the point value for each assessment and your grade will be based on the percent of points earned from the total points of 300.
Quizzes: 40 points (20 points each)
There will be two quizzes given; one on addition and subtraction of polynomials, and on on the multiplication of polynomials.
Test: 50 points
There will be one test given at the end of the unit on addition, subtraction, and multiplication of polynomials.
Project: 100 points
There will be a final project on the unit which will consist of 3 parts: a short essay (20 points), a model (30 points), and the presentation (50 points).
Participation/ Preparation: 60 points (10 points per day)
There will be opportunities daily for you to be involved and engaged in the classroom; I expect you all to come to class prepared with the previous classes homework done and any materials necessary to succeed (pens & pencils, notebooks, etc.).
Daily Wiki Reflective Entries: 50 points (10 points each)
There will be daily reflective assessment entries to emphasize what you learned each day and to share your assignments with the rest of the class.
Grading Scale
A (93 -100), A- (90 - 92), B+ (87 - 89), B (83 - 86), B- (80 - 82), C+(77 - 79), C (73-76), C- (70 - 72), D+(67 - 69), D (63 - 66), D- (60 - 62), F (0 - 59).
Teacher: Cheyanne J. Ouellette
Office: TBA
Office Phone: TBA
Office Hours: TBA, or by appointment
E-mail: cheyanne.ouellette@maine.edu
Summary of Unit
Symbols and Expressions
Grade 9 - Diploma
1. Students understand and use polynomials and expressions with rational exponents.
b. Add, subtract, and multiply polynomials.
• Visual representations can be used to derive polynomial expressions. .
• Polynomial expressions can be used in real world applications.
• How can you use visual representations to derive polynomial expressions?
• How can polynomial expressions be used in the real world?
• Critical details: exponential applications, "like" terms
• Definition: polynomial
• Illustrate how polynomial expressions can be multiplied by using the horizontal, vertical or FOIL methods.
• b. Solve addition, subtraction, and multiplication problems that involve polynomials.
• Compare and choose which of the different methods of solving polynomial expressions best suits them.
• Relate the visual representations of polynomials to the mathematical solutions.
• Recognize some practical uses of polynomial functions in the real world. || || ||
The first stage of the competition is to find a winning vegetarian recipe, and to use vegetables grown in your own garden, using only the space that the network has provided for you. You and your partner will present a diagram of your garden to the panel of judges which includes a local farmer, a mathematician, and a world-renowned vegetarian chef. You must convince each of them that you have the best recipe and garden design.
Expectations
Benchmarks
Quizzes: 40 points (20 points each)
There will be two quizzes given; one on addition and subtraction of polynomials, and on on the multiplication of polynomials.
Test: 50 points
There will be one test given at the end of the unit on addition, subtraction, and multiplication of polynomials.
Project: 100 points
There will be a final project on the unit which will consist of 3 parts: a short essay (20 points), a model (30 points), and the presentation (50 points).
Participation/ Preparation: 60 points (10 points per day)
There will be opportunities daily for you to be involved and engaged in the classroom; I expect you all to come to class prepared with the previous classes homework done and any materials necessary to succeed (pens & pencils, notebooks, etc.).
Daily Wiki Reflective Entries: 50 points (10 points each)
There will be daily reflective assessment entries to emphasize what you learned each day and to share your assignments with the rest of the class.
Grading Scale